Fixed-time synchronization of proportional delay memristive complex-valued competitive neural networks.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date:

Abstract

The fixed-time synchronization (FXS) is considered for memristive complex-valued competitive neural networks (MCVCNNs) with proportional delays. Two less conservative criteria supporting the FXS of MCVCNNs are founded by involving Lyapunov method and inequality techniques. Suitable switch controllers are designed by defining different norms of complex numbers instead of treating complex-valued neural networks as two real-valued systems. Furthermore, the settling time (ST) has been approximated. Finally, two simulations are shown to confirm the effectiveness of criteria in this paper and the outcomes of practical application in image protection.

Authors

  • Jiapeng Han
    School of Mathematics Science and Institute of Mathematics and Interdisciplinary Sciences, Tianjin Normal University, Tianjin, 300387, China.
  • Liqun Zhou
    Department of Urology, Peking University First Hospital, Beijing 100034, China.